Level Fluctuations and Many-Body Effects in Disorder-Free Quantum Dots

TL;DR

This paper explores how many-body interactions influence energy level fluctuations in disorder-free quantum dots, highlighting the roles of shell structure, Hartree-Fock relaxation, and magnetic fields in these phenomena.

Contribution

It demonstrates that many-body effects and shell structures significantly impact level fluctuations, especially in the absence of disorder and under magnetic fields.

Findings

Closed shell states cause large energy level fluctuations.

Magnetic fields suppress shell structures and reduce fluctuations.

Hartree-Fock potential relaxation influences energy level behavior.

Abstract

We have investigated whether many-body effects can induce significant level fluctuations in a disorder-free quantum dot. The closed energy shell structures and relaxation of the Hartree-Fock potentials are found to play a significant role. The level degeneracy consistent with the rotational symmetry of the confining potential determines the structure of the energy shells. A closed shell state of a dot can give rise to large fluctuations. When a strong magnetic field is present the shell structure is absent and fluctuations are significantly reduced.